Flashcards
Series
Cards in this deck (10)
- 1The sum of the various numbers or elements of the sequenceSeries
- 2Find the sum of the finite arithmetic series 1+2+3+...20s20= 20/2 [2(1)+(20-1)1]
s20= 10[2+19]
s20= 10 (21)
s20 = 210 - 3What is the sum of 2, 4, 6, 8, 10?2+4+6+8+10
= 30 - 4What is the arithmetic series of 5,10,15,20,...50?Sn= 50/2 [2(5)+(50-1)5]
Sn= 25(10+245)
Sn= 25(255)
Sn = 6,375 - 5What is the arithmetic series of 3,6,9,12,15,...30?Sn= 30/2 [2(3)+(30-1)3]
Sn= 15 [6+(29)3]
Sn= 15 (6+87)
Sn= 15 (93)
Sn = 1,395 - 6Find the sum of the first 5 terms of geometric series 2,6,18,54,162,...n=5
r=3
a=2
Sn= 2(3^5-1)/3-1
Sn= 2(243-1)/2
Sn= 484/2
Sn = 242 - 7Find the sum of the first 10 terms of geometric series 5,10,20,...n=10
r=2
a=5
Sn = 5(2^10-1)/2-1
Sn= 5(1,024-1)/1
Sn= 5,115/1
Sn = 5,115 - 8Find the sum of the first 6 terms of geometric series 2,8,32,128,...n=6
r=4
a=2
Sn= 2(4^6-1)/4-1
Sn= 2(4,096-1)/3
Sn= 8,190/3
Sn = 2,730 - 9What is the sum o numbers 1,2,3,4,...100?Sn= 100/2(1+100)
Sn= 50(101)
Sn = 151= 100/2(1+100)
Sn= 50(101)
Sn = 151 - 10What is the sum of the first 8 terms of arithmetic series -5, -2, 1, 4, 7...?Sn= 8/2 [ (2)(-5)+(8-1)3 ]
Sn= 4 [(-10)+21]
Sn= 2 (11)
Sn = 22
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- Mathematics Flashcards on Series, created by Athina Palomo on 06/06/2022.
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- Athina Palomo
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